SOLUTION: The area of a triangle is 578 the base is 4 times the length of its height. Find the base and and height of the triangle.
Algebra.Com
Question 948911: The area of a triangle is 578 the base is 4 times the length of its height. Find the base and and height of the triangle.
Answer by Zucchini(70) (Show Source): You can put this solution on YOUR website!
height= h
Base= 4h
The equation for finding the area of a triangle is 1/2 times base times height. So, plug in what you know.
578 = (1/2)(h)(4h)
578 = 1/2 · 4h^2
1156= 4h^2
289 = h^2
17 = h
So,the height is 17 and the base is (4 ·17)= 68
Height: 17
Base: 68
P.s. I'm assuming there were no units that were provided, if there were just put them next to the value of the base and value of the height.
RELATED QUESTIONS
The height of a triangle is 4 times its base. The area of the triangle is 288 square... (answered by jorel1380)
The base of a triangle is 3 times its height the area is numerically 6 times its height.... (answered by ptaylor)
The area of a triangle is 27 square inches. The height is 3 times the length of its base. (answered by rfer)
The area of a triangle is 27 square feet. Its height is three times the length of the... (answered by Fombitz)
The area of a triangle is 338 square yards. The height of the triangle is four times its... (answered by cleomenius)
the area of a triangle is 338 square yards. the height og the triangle is four times its... (answered by cleomenius)
The base length of a right triangle is 4 cm more than its height. The area is 30 cm2.... (answered by josgarithmetic)
The height of a triangle is four times the length of the base. Find the base and height... (answered by checkley71,MathLover1)
the height of a triangle is four times the length of the base. find the base and height... (answered by rapaljer)